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    Orthogonal basis for the optical transfer function

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    Date
    2016
    Author
    Ferreira González, Chelo Upna
    López García, José Luis Upna
    Navarro, Rafael 
    Pérez Sinusía, Ester Upna
    Version
    Acceso abierto / Sarbide irekia
    Type
    Artículo / Artikulua
    Version
    Versión aceptada / Onetsi den bertsioa
    Project Identifier
    ES/1PE/MTM2014-52859 
    ES/1PE/FIS2014-58303 
    Impact
     
     
     
    10.1364/AO.55.009688
     
     
     
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    Abstract
    We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0 OTF perfect. To this end, we apply a powerful and rigorous theoretical framework based on applying the appropriate change of variables to well-known orthogonal systems. Here we depart from Legendre polynomials for the par ... [++]
    We propose systems of orthogonal functions qn to represent optical transfer functions (OTF) characterized by including the diffraction-limited OTF as the first basis function q0 OTF perfect. To this end, we apply a powerful and rigorous theoretical framework based on applying the appropriate change of variables to well-known orthogonal systems. Here we depart from Legendre polynomials for the particular case of rotationally symmetric OTF and from spherical harmonics for the general case. Numerical experiments with different examples show that the number of terms necessary to obtain an accurate linear expansion of the OTF mainly depends on the image quality. In the rotationally symmetric case we obtained a reasonable accuracy with approximately 10 basis functions, but in general, for cases of poor image quality, the number of basis functions may increase and hence affect the efficiency of the method. Other potential applications, such as new image quality metrics are also discussed. [--]
    Subject
    Optical transfer functions, Numerical approximation and analysis, Metrics, Testing
     
    Publisher
    Optical Society of America
    Published in
    Applied Optics, 2016, 55(34), 9688-9694
    Departament
    Universidad Pública de Navarra. Departamento de Ingeniería Matemática e Informática / Nafarroako Unibertsitate Publikoa. Matematika eta Informatika Ingeniaritza Saila
     
    Publisher version
    https://doi.org/10.1364/AO.55.009688
    URI
    https://hdl.handle.net/2454/38299
    Sponsorship
    This research was supported by the Spanish Ministry of Economía y Competitividad and the European Union MTM2014-52859 and FIS2014-58303.
    Appears in Collections
    • Artículos de revista DIMI - MIIS Aldizkari artikuluak [57]
    • Artículos de revista - Aldizkari artikuluak [3104]
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